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Gre4nikov [31]
2 years ago
11

How to solve

}{4})^{x" alt="y=20 (\frac{1}{4})^{x" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Anastaziya [24]2 years ago
7 0

Answer:

l

Step-by-step explanation:

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Scores on an aptitude test are distributed with a mean of 220 and a standard deviation of 30. The shape of the distribution is u
Evgen [1.6K]

Answer:

P(215<X<225) = 0.7620

Step-by-step explanation:

The shape of the distribution is unknow, however, the shape of the sampling distributions of the sample mean is approximately normal due to the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 220, \sigma = 30,n = 50, s = \frac{30}{\sqrt{50}} = 4.2426

P(215<X<225)

This is the pvalue of Z when X = 225 subtracted by the pvalue of Z when X = 215. So

X = 225

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{225 - 220}{4.2426}

Z = 1.18

Z = 1.18 has a pvalue of 0.8810

X = 215

Z = \frac{X - \mu}{s}

Z = \frac{215 - 220}{4.2426}

Z = -1.18

Z = -1.18 has a pvalue of 0.1190

0.8810 - 0.1190 = 0.7620

P(215<X<225) = 0.7620

6 0
2 years ago
Plz plz plz plz plz plz plz help help help me plz help me I’m begging you plz help me plz
RUDIKE [14]

C.

A doesn't work because x + x + x = 3x, not x^3.

B doesn't work because 14x + 10 - 2x has like terms, 14x and -2x can be combined, bit when you do so you get 14x - 2x, or 12x + 10. (So not 16x + 10)

D doesn't work because 12x^2 + 5x + 10 doesn't simplify; it can only be factored, and you cannot combine 12x^2 and 5x because their variables have different powers.

C, however, works fine. All they did is factor out a 3; if you distribute that 3 again, you get 12x + 16x back, so the two are equal.

6 0
3 years ago
Read 2 more answers
Find the slope of the two points below
earnstyle [38]

Answer:

-3/2

Step-by-step explanation:

Formula for slope is y2-y1/x2-x1

3-5/3-1

-3/2

8 0
2 years ago
Karina is creating a new passcode for her phone. Her
FrozenT [24]

Answer:

The answer is: 10^5=100'000

8 0
2 years ago
2a=9b<br><br> Use the equality to find ratios of a:b
nevsk [136]

Answer:

3:6, 18:4 keep exploring man!

Step-by-step explanation:

think of numbers to make them both true like ex 3 for a and 6 for b so in this case you could do 3:6

7 0
2 years ago
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